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An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method

Author

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  • Chao Tian

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
    School of Accounting, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Wen Yu Zhang

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Shuai Zhang

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Juan Juan Peng

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
    School of Business, Central South University, Changsha 410083, China)

Abstract

With respect to multi-criteria decision-making (MCDM) problems in which the criteria denote the form of single-valued neutrosophic sets (SVNSs), and the weight information is also fully unknown, a novel MCDM method based on qualitative flexible multiple criteria (QUALIFLEX) is developed. Firstly, the improved cosine measure of the included angle between two SVNSs is defined. Then, the improved single-valued neutrosophic projection is developed, and the corresponding improved single-valued neutrosophic bidirectional projection and single-valued neutrosophic bidirectional projection difference are investigated. Moreover, the partial ordering relation of SVNSs is developed. Secondly, an extended QUALIFLEX method based on an improved single-valued neutrosophic projection measure is proposed to handle MCDM problems in which the weights of criteria are completely unknown. Finally, an example for selection of a green supplier, as well as a performance comparison analysis, are provided to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Chao Tian & Wen Yu Zhang & Shuai Zhang & Juan Juan Peng, 2019. "An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:39-:d:194664
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    References listed on IDEAS

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    Cited by:

    1. Nguyen Tho Thong & Luong Thi Hong Lan & Shuo-Yan Chou & Le Hoang Son & Do Duc Dong & Tran Thi Ngan, 2020. "An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment," Mathematics, MDPI, vol. 8(3), pages 1-15, March.
    2. Chao Tian & Juan Juan Peng, 2020. "A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator," Mathematics, MDPI, vol. 8(7), pages 1-17, June.

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